Triangles - GMATPrep Test 1 - The Beat The GMAT Forum - Expert GMAT Help & MBA Admissions Advice

Triangles - GMATPrep Test 1

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kwah: Senior | Next Rank: 100 Posts; Posts: 70; Joined: Wed Jan 04, 2012 5:15 pm

by kwah » Wed Feb 22, 2012 5:40 pm

I have attached a question from GMATPrep Test 1.

Answer: A

Can someone please explain steps to achieve this result?

Thank you

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GMATPrep Test 1_PS Triangles_#10.docx: (60.78 KiB) Downloaded 85 times

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Source: Beat The GMAT — Problem Solving | Wed Feb 22, 2012 5:40 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Wed Feb 22, 2012 6:44 pm

kwah wrote:I have attached a question from GMATPrep Test 1.

Answer: A

Can someone please explain steps to achieve this result?

Thank you

Area of a triangle when coordinates of the vertices are (x1, y2), (x2, y2), and (x3, y3) = 1/2 |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
P(4, 0), Q(0, 3), R(7, 4)
So, here area of triangular region = (1/2)|4(3 - 4) + 0(4 - 0) + 7(0 - 3)| = (1/2)|-4 - 21| = 12.5 sq units

The correct answer is A.

You can also find area using the distance formula.

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Thu Feb 23, 2012 5:10 am

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kwah: Senior | Next Rank: 100 Posts; Posts: 70; Joined: Wed Jan 04, 2012 5:15 pm

by kwah » Thu Feb 23, 2012 9:17 pm

Thank you Anurag@Gurome and GMATGuruNY for helping me with this question. It is most helpful.

Would you advise to draw out figures and include the letters when tackling these kind of questions or is it a waste of time?

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GMAT/MBA Expert

Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Feb 23, 2012 9:22 pm

kwah wrote:Thank you Anurag@Gurome and GMATGuruNY for helping me with this question. It is most helpful.

Would you advise to draw out figures and include the letters when tackling these kind of questions or is it a waste of time?

My view: In some questions, drawing figures really help you and definitely visualizing the scenario helps you solve it in a better way.

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